Solve (5+7y^5)^2

$$( 5 + 7 y ^ { 5 } ) ^ { 2 }$$

Evaluate

$$\left(7y^{5}+5\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+7y^{5}\right)^{2}.

$$25+70y^{5}+49\left(y^{5}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$25+70y^{5}+49y^{10}$$

Expand

$$49y^{10}+70y^{5}+25$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+7y^{5}\right)^{2}.

$$25+70y^{5}+49\left(y^{5}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$25+70y^{5}+49y^{10}$$